题目
若函数f(x)=lnx(0<x≤1)与函数g(x)=x2+a有两条公切线,则实数a的取值范围是( )A. ((-lnsqrt(2)-(1)/(2),+∞))B. ((-lnsqrt(2)-(1)/(2),-(3)/(4)))C. ((-lnsqrt(2),-(3)/(4))]D. ((-lnsqrt(2)-(1)/(2),-(3)/(4))]
若函数f(x)=lnx(0<x≤1)与函数g(x)=x2+a有两条公切线,则实数a的取值范围是( )
A. $({-ln\sqrt{2}-\frac{1}{2},+∞})$
B. $({-ln\sqrt{2}-\frac{1}{2},-\frac{3}{4}})$
C. $({-ln\sqrt{2},-\frac{3}{4}}]$
D. $({-ln\sqrt{2}-\frac{1}{2},-\frac{3}{4}}]$
题目解答
答案
D. $({-ln\sqrt{2}-\frac{1}{2},-\frac{3}{4}}]$